The sum of the measure of angle K and angle J is 180°.

Question

The measure of angle K is 100°.

The measure of angle J is (3x + 5)°.

What is the value of x?
Responses
A 2525
B 1515
C 3030
D 24

Answer 1

We know that the sum of the measures of angle K and angle J is 180°.

Given that:

• The measure of angle K is 100°.
• The measure of angle J is (3x + 5)°.

We can set up the equation as follows:

\[ 100 + (3x + 5) = 180 \]

Now, simplify the equation:

\[ 100 + 3x + 5 = 180 \]

Combine like terms:

\[ 3x + 105 = 180 \]

Next, subtract 105 from both sides:

\[ 3x = 75 \]

Now, divide by 3 to solve for x:

\[ x = 25 \]

It looks like none of the provided options (2525, 1515, 3030, 24) match the value of x calculated, which is 25. Please double-check the problem or the options given.